1000140233424 has 160 divisors (see below), whose sum is σ = 2687744401920. Its totient is φ = 320086642176.

The previous prime is 1000140233413. The next prime is 1000140233459. The reversal of 1000140233424 is 4243320410001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1000140233394 and 1000140233403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405406239 + ... + 405408705.

It is an arithmetic number, because the mean of its divisors is an integer number (16798402512).

Almost surely, 2^{1000140233424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000140233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343872200960).

1000140233424 is an abundant number, since it is smaller than the sum of its proper divisors (1687604168496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000140233424 is a wasteful number, since it uses less digits than its factorization.

1000140233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1000140233424 its reverse (4243320410001), we get a palindrome (5243460643425).

The spelling of 1000140233424 in words is "one trillion, one hundred forty million, two hundred thirty-three thousand, four hundred twenty-four".